Hybrid physics-ML & parameterization★ Highlight
Training Physics‐Based Machine‐Learning Parameterizations With Gradient‐Free Ensemble Kalman Methods
Why it matters. Gradient-free Kalman inversion for training ML parameterizations from statistics, offering a practical route to online-aware calibration.
In one sentence. Gradient-free Kalman inversion trains hybrid subgrid turbulence and convection parameterizations from large-eddy simulation data, with uncertainty estimates from unscented Kalman inversion.
Abstract
Abstract Most machine learning applications in Earth system modeling currently rely on gradient‐based supervised learning. This imposes stringent constraints on the nature of the data used for training (typically, residual time tendencies are needed), and it complicates learning about the interactions between machine‐learned parameterizations and other components of an Earth system model. Approaching learning about process‐based parameterizations as an inverse problem resolves many of these issues, since it allows parameterizations to be trained with partial observations or statistics that directly relate to quantities of interest in long‐term climate projections. Here, we demonstrate the effectiveness of Kalman inversion methods in treating learning about parameterizations as an inverse problem. We consider two different algorithms: unscented and ensemble Kalman inversion. Both methods involve highly parallelizable forward model evaluations, converge exponentially fast, and do not require gradient computations. In addition, unscented Kalman inversion provides a measure of parameter uncertainty. We illustrate how training parameterizations can be posed as a regularized inverse problem and solved by ensemble Kalman methods through the calibration of an eddy‐diffusivity mass‐flux scheme for subgrid‐scale turbulence and convection, using data generated by large‐eddy simulations. We find the algorithms amenable to batching strategies, robust to noise and model failures, and efficient in the calibration of hybrid parameterizations that can include empirical closures and neural networks.
Labels
- Topic
- Hybrid physics-ML & parameterization
- Type
- New model or method
- Method
- Other, Physics-informed / physics-constrained
- Time scale
- Climate projections / centennial
- Domain
- Global
- Data
- km-scale or high-res simulation
- Status
- Research
- Identifiers
- DOI:10.1029/2022ms003105 OpenAlex:W4293744237
- Added
- 2026-10-22
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